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mars1129 [50]
2 years ago
14

Pleaseee helppp with thisss asappp

Mathematics
1 answer:
Hoochie [10]2 years ago
8 0

We are given with a equation of Circle and we need to find it's radius and it's equation in standard form . But , let's recall , the standard equation of a circle is {\bf (x-h)^{2}+(y-k)^{2}=r^{2}} where <em>(h,k)</em> is the centre of the circle and radius is <em>r</em> . Proceeding further ;

{:\implies \quad \sf x^{2}+12y+22x+y^{2}-167=0}

Collecting <em>x</em> terms , y terms and transposing the constant to RHS ;

{:\implies \quad \sf (x^{2}+22x)+(y^{2}+12y)=167}

Now , as in standard equation their is a whole square , so we need to develop a whole square in LHS , for which we will use completing the square method , as coefficient of x² and y² is 1 , so adding 121 and 36 to LHS and RHS .

{:\implies \quad \sf (x^{2}+22x+121)+(y^{2}+12y+36)=167+121+36}

{:\implies \quad \sf (x+11)^{2}+(y+6)^{2}=324\quad \qquad \{\because a^{2}+2ab+b^{2}=(a+b)^{2}\}}

{:\implies \quad \bf \therefore \quad \underline{\underline{\{x-(-11)\}^{2}+\{y-(-6)\}^{2}=(18)^{2}}}}

On comparing this with the standard equation , we got our centre at <em>(-11,-6)</em> and radius is <em>18 units </em>

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Please answer this for me
bogdanovich [222]

Answer:

B (5,2)

Step-by-step explanation:

6 0
3 years ago
tom takes a taxi to work. There is an initial fee of $2.20. Each mile is calculated at $1.50. If Tom's final cost for the taxi i
Fudgin [204]

Fee for distance = total fee - initial fee = 12.70-2.20 = $10.50

Now, for 1 mile = $1.50

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So, tom travel 7 miles.

5 0
3 years ago
If one of you guys wouldn’t mind helping me do this question it would really speed up the process I have like 10 minutes now
EastWind [94]

Answer:

13. 70(two digits 7 times 10 which is a multiple of 5)

Hope This Helps!!!

7 0
2 years ago
Francis went to the sporting goods store and spent $75.15 on 6 items.
MArishka [77]

Answer:

$6.03

Step-by-step explanation:

The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.

So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.

Each pair of socks cost $6.03.

Simpler Explanation:

  • $75.15 - $45 = $30.15
  • $30.15 / 5 = $6.03

The answer is $6.03

5 0
3 years ago
Is this all correct?
Doss [256]

Answer:

No

Step-by-step explanation:

11. Correct

11a. a is the number of accessories bought

12. 32 = 3.5a + 25

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12a. cost of the bear

13. correct

13a. f(-1)=8

3 0
2 years ago
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